Source: http://www.abarim-publications.com/Meaning/Ruhamah.html

🔼The name Ruhamah in the Bible

Ruhamah is the symbolic name for the female half of Israel, and counterpart of the name Lo-ruhamah of the daughter of the prophet Hosea and Gomer (Hosea 2:1 and 1:6). The male population is called Ammi, the counterpart of Lo-ruhamah's brother Lo-ammi (2:1 and 1:9).

🔼Etymology of the name Ruhamah

The name Ruhamah comes from the root-verb רחמ (raham), meaning to love deeply or to have mercy: